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Finding the Fourth Proportional to 153.23, 211.45 and 91.03

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Solution

The fourth proportional to 153.23, 211.45 and 91.03 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 211.45 = 91.03 : x
  2. Step 2: Convert to fraction form
    153.23/211.45 = 91.03/x
  3. Step 3: Cross multiply
    153.23x = 211.45 × 91.03
  4. Step 4: Simplify right side
    153.23x = 19,248.29
  5. Step 5: Solve for x
    x = 19,248.29/153.23
  6. Step 6: Final answer
    x = 125.62

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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.