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Finding the Fourth Proportional to 476.13, 656.46 and 307.80

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Solution

The fourth proportional to 476.13, 656.46 and 307.80 is: 424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.13 : 656.46 = 307.80 : x
  2. Step 2: Convert to fraction form
    476.13/656.46 = 307.80/x
  3. Step 3: Cross multiply
    476.13x = 656.46 × 307.80
  4. Step 4: Simplify right side
    476.13x = 202,059.25
  5. Step 5: Solve for x
    x = 202,059.25/476.13
  6. Step 6: Final answer
    x = 424.37

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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.