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Finding the Fourth Proportional to 387.92, 578.98 and 357.68

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Solution

The fourth proportional to 387.92, 578.98 and 357.68 is: 533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.92 : 578.98 = 357.68 : x
  2. Step 2: Convert to fraction form
    387.92/578.98 = 357.68/x
  3. Step 3: Cross multiply
    387.92x = 578.98 × 357.68
  4. Step 4: Simplify right side
    387.92x = 207,089.57
  5. Step 5: Solve for x
    x = 207,089.57/387.92
  6. Step 6: Final answer
    x = 533.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.