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Finding the Fourth Proportional to 309.71, 462.50 and 291.71

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Solution

The fourth proportional to 309.71, 462.50 and 291.71 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 462.50 = 291.71 : x
  2. Step 2: Convert to fraction form
    309.71/462.50 = 291.71/x
  3. Step 3: Cross multiply
    309.71x = 462.50 × 291.71
  4. Step 4: Simplify right side
    309.71x = 134,915.88
  5. Step 5: Solve for x
    x = 134,915.88/309.71
  6. Step 6: Final answer
    x = 435.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.