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Finding the Fourth Proportional to 477.50, 658.50 and 311.84

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Solution

The fourth proportional to 477.50, 658.50 and 311.84 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 658.50 = 311.84 : x
  2. Step 2: Convert to fraction form
    477.50/658.50 = 311.84/x
  3. Step 3: Cross multiply
    477.50x = 658.50 × 311.84
  4. Step 4: Simplify right side
    477.50x = 205,346.64
  5. Step 5: Solve for x
    x = 205,346.64/477.50
  6. Step 6: Final answer
    x = 430.05

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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.