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Finding the Fourth Proportional to 155.66, 214.82 and 90.16

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Solution

The fourth proportional to 155.66, 214.82 and 90.16 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 214.82 = 90.16 : x
  2. Step 2: Convert to fraction form
    155.66/214.82 = 90.16/x
  3. Step 3: Cross multiply
    155.66x = 214.82 × 90.16
  4. Step 4: Simplify right side
    155.66x = 19,368.17
  5. Step 5: Solve for x
    x = 19,368.17/155.66
  6. Step 6: Final answer
    x = 124.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.