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Finding the Fourth Proportional to 476.87, 715.31 and 147.76

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Solution

The fourth proportional to 476.87, 715.31 and 147.76 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 715.31 = 147.76 : x
  2. Step 2: Convert to fraction form
    476.87/715.31 = 147.76/x
  3. Step 3: Cross multiply
    476.87x = 715.31 × 147.76
  4. Step 4: Simplify right side
    476.87x = 105,694.21
  5. Step 5: Solve for x
    x = 105,694.21/476.87
  6. Step 6: Final answer
    x = 221.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.