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Finding the Fourth Proportional to 532.52, 797.36 and 288.30

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Solution

The fourth proportional to 532.52, 797.36 and 288.30 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.52 : 797.36 = 288.30 : x
  2. Step 2: Convert to fraction form
    532.52/797.36 = 288.30/x
  3. Step 3: Cross multiply
    532.52x = 797.36 × 288.30
  4. Step 4: Simplify right side
    532.52x = 229,878.89
  5. Step 5: Solve for x
    x = 229,878.89/532.52
  6. Step 6: Final answer
    x = 431.68

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Why These Related Problems?

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