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Finding the Fourth Proportional to 150.79, 224.59 and 144.13

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Solution

The fourth proportional to 150.79, 224.59 and 144.13 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.79 : 224.59 = 144.13 : x
  2. Step 2: Convert to fraction form
    150.79/224.59 = 144.13/x
  3. Step 3: Cross multiply
    150.79x = 224.59 × 144.13
  4. Step 4: Simplify right side
    150.79x = 32,368.31
  5. Step 5: Solve for x
    x = 32,368.31/150.79
  6. Step 6: Final answer
    x = 214.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.