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Finding the Fourth Proportional to 422.76, 583.12 and 248

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Solution

The fourth proportional to 422.76, 583.12 and 248 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 583.12 = 248 : x
  2. Step 2: Convert to fraction form
    422.76/583.12 = 248/x
  3. Step 3: Cross multiply
    422.76x = 583.12 × 248
  4. Step 4: Simplify right side
    422.76x = 144,613.76
  5. Step 5: Solve for x
    x = 144,613.76/422.76
  6. Step 6: Final answer
    x = 342.07

Related Problems

Find fourth proportional to 211.38, 291.56 and 124
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.