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Finding the Fourth Proportional to 355.74, 532.85 and 193.08

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Solution

The fourth proportional to 355.74, 532.85 and 193.08 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.74 : 532.85 = 193.08 : x
  2. Step 2: Convert to fraction form
    355.74/532.85 = 193.08/x
  3. Step 3: Cross multiply
    355.74x = 532.85 × 193.08
  4. Step 4: Simplify right side
    355.74x = 102,881.71
  5. Step 5: Solve for x
    x = 102,881.71/355.74
  6. Step 6: Final answer
    x = 289.20

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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.