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Finding the Fourth Proportional to 402.70, 603.78 and 258.52

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Solution

The fourth proportional to 402.70, 603.78 and 258.52 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 603.78 = 258.52 : x
  2. Step 2: Convert to fraction form
    402.70/603.78 = 258.52/x
  3. Step 3: Cross multiply
    402.70x = 603.78 × 258.52
  4. Step 4: Simplify right side
    402.70x = 156,089.21
  5. Step 5: Solve for x
    x = 156,089.21/402.70
  6. Step 6: Final answer
    x = 387.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.