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Finding the Fourth Proportional to 261.74, 362.88 and 247.16

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Solution

The fourth proportional to 261.74, 362.88 and 247.16 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 362.88 = 247.16 : x
  2. Step 2: Convert to fraction form
    261.74/362.88 = 247.16/x
  3. Step 3: Cross multiply
    261.74x = 362.88 × 247.16
  4. Step 4: Simplify right side
    261.74x = 89,690.79
  5. Step 5: Solve for x
    x = 89,690.79/261.74
  6. Step 6: Final answer
    x = 342.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.