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Finding the Fourth Proportional to 153.88, 229.35 and 145.23

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Solution

The fourth proportional to 153.88, 229.35 and 145.23 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 229.35 = 145.23 : x
  2. Step 2: Convert to fraction form
    153.88/229.35 = 145.23/x
  3. Step 3: Cross multiply
    153.88x = 229.35 × 145.23
  4. Step 4: Simplify right side
    153.88x = 33,306.63
  5. Step 5: Solve for x
    x = 33,306.63/153.88
  6. Step 6: Final answer
    x = 216.45

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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.