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Finding the Fourth Proportional to 477.55, 659.10 and 311.68

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Solution

The fourth proportional to 477.55, 659.10 and 311.68 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 659.10 = 311.68 : x
  2. Step 2: Convert to fraction form
    477.55/659.10 = 311.68/x
  3. Step 3: Cross multiply
    477.55x = 659.10 × 311.68
  4. Step 4: Simplify right side
    477.55x = 205,428.29
  5. Step 5: Solve for x
    x = 205,428.29/477.55
  6. Step 6: Final answer
    x = 430.17

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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.