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Finding the Fourth Proportional to 355.78, 533.64 and 99.28

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Solution

The fourth proportional to 355.78, 533.64 and 99.28 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 533.64 = 99.28 : x
  2. Step 2: Convert to fraction form
    355.78/533.64 = 99.28/x
  3. Step 3: Cross multiply
    355.78x = 533.64 × 99.28
  4. Step 4: Simplify right side
    355.78x = 52,979.78
  5. Step 5: Solve for x
    x = 52,979.78/355.78
  6. Step 6: Final answer
    x = 148.91

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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.