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Finding the Fourth Proportional to 476.40, 713.76 and 260.16

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Solution

The fourth proportional to 476.40, 713.76 and 260.16 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 713.76 = 260.16 : x
  2. Step 2: Convert to fraction form
    476.40/713.76 = 260.16/x
  3. Step 3: Cross multiply
    476.40x = 713.76 × 260.16
  4. Step 4: Simplify right side
    476.40x = 185,691.80
  5. Step 5: Solve for x
    x = 185,691.80/476.40
  6. Step 6: Final answer
    x = 389.78

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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.