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Finding the Fourth Proportional to 422.76, 583.34 and 256.87

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Solution

The fourth proportional to 422.76, 583.34 and 256.87 is: 354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 583.34 = 256.87 : x
  2. Step 2: Convert to fraction form
    422.76/583.34 = 256.87/x
  3. Step 3: Cross multiply
    422.76x = 583.34 × 256.87
  4. Step 4: Simplify right side
    422.76x = 149,840.77
  5. Step 5: Solve for x
    x = 149,840.77/422.76
  6. Step 6: Final answer
    x = 354.43

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Find fourth proportional to 211.38, 291.67 and 128.43
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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.