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Finding the Fourth Proportional to 355.16, 532.76 and 124.06

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Solution

The fourth proportional to 355.16, 532.76 and 124.06 is: 186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.16 : 532.76 = 124.06 : x
  2. Step 2: Convert to fraction form
    355.16/532.76 = 124.06/x
  3. Step 3: Cross multiply
    355.16x = 532.76 × 124.06
  4. Step 4: Simplify right side
    355.16x = 66,094.21
  5. Step 5: Solve for x
    x = 66,094.21/355.16
  6. Step 6: Final answer
    x = 186.10

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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.