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Finding the Fourth Proportional to 150.24, 223.56 and 140.04

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Solution

The fourth proportional to 150.24, 223.56 and 140.04 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 223.56 = 140.04 : x
  2. Step 2: Convert to fraction form
    150.24/223.56 = 140.04/x
  3. Step 3: Cross multiply
    150.24x = 223.56 × 140.04
  4. Step 4: Simplify right side
    150.24x = 31,307.34
  5. Step 5: Solve for x
    x = 31,307.34/150.24
  6. Step 6: Final answer
    x = 208.38

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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.