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Finding the Fourth Proportional to 155.34, 214.25 and 124.02

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Solution

The fourth proportional to 155.34, 214.25 and 124.02 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.34 : 214.25 = 124.02 : x
  2. Step 2: Convert to fraction form
    155.34/214.25 = 124.02/x
  3. Step 3: Cross multiply
    155.34x = 214.25 × 124.02
  4. Step 4: Simplify right side
    155.34x = 26,570.66
  5. Step 5: Solve for x
    x = 26,570.66/155.34
  6. Step 6: Final answer
    x = 171.05

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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.