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Finding the Fourth Proportional to 477.34, 658.74 and 270.34

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Solution

The fourth proportional to 477.34, 658.74 and 270.34 is: 373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 658.74 = 270.34 : x
  2. Step 2: Convert to fraction form
    477.34/658.74 = 270.34/x
  3. Step 3: Cross multiply
    477.34x = 658.74 × 270.34
  4. Step 4: Simplify right side
    477.34x = 178,083.77
  5. Step 5: Solve for x
    x = 178,083.77/477.34
  6. Step 6: Final answer
    x = 373.08

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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.