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Finding the Fourth Proportional to 477.77, 659.07 and 311.90

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Solution

The fourth proportional to 477.77, 659.07 and 311.90 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 659.07 = 311.90 : x
  2. Step 2: Convert to fraction form
    477.77/659.07 = 311.90/x
  3. Step 3: Cross multiply
    477.77x = 659.07 × 311.90
  4. Step 4: Simplify right side
    477.77x = 205,560.64
  5. Step 5: Solve for x
    x = 205,560.64/477.77
  6. Step 6: Final answer
    x = 430.25

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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.