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Finding the Fourth Proportional to 388.08, 578.61 and 357.12

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Solution

The fourth proportional to 388.08, 578.61 and 357.12 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 578.61 = 357.12 : x
  2. Step 2: Convert to fraction form
    388.08/578.61 = 357.12/x
  3. Step 3: Cross multiply
    388.08x = 578.61 × 357.12
  4. Step 4: Simplify right side
    388.08x = 206,633.20
  5. Step 5: Solve for x
    x = 206,633.20/388.08
  6. Step 6: Final answer
    x = 532.45

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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.