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Finding the Fourth Proportional to 356.01, 532.99 and 275.01

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Solution

The fourth proportional to 356.01, 532.99 and 275.01 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.01 : 532.99 = 275.01 : x
  2. Step 2: Convert to fraction form
    356.01/532.99 = 275.01/x
  3. Step 3: Cross multiply
    356.01x = 532.99 × 275.01
  4. Step 4: Simplify right side
    356.01x = 146,577.58
  5. Step 5: Solve for x
    x = 146,577.58/356.01
  6. Step 6: Final answer
    x = 411.72

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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.