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Finding the Fourth Proportional to 162.61, 242.55 and 147.03

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Solution

The fourth proportional to 162.61, 242.55 and 147.03 is: 219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 242.55 = 147.03 : x
  2. Step 2: Convert to fraction form
    162.61/242.55 = 147.03/x
  3. Step 3: Cross multiply
    162.61x = 242.55 × 147.03
  4. Step 4: Simplify right side
    162.61x = 35,662.13
  5. Step 5: Solve for x
    x = 35,662.13/162.61
  6. Step 6: Final answer
    x = 219.31

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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.