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Finding the Fourth Proportional to 162.33, 242.55 and 159.60

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Solution

The fourth proportional to 162.33, 242.55 and 159.60 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.33 : 242.55 = 159.60 : x
  2. Step 2: Convert to fraction form
    162.33/242.55 = 159.60/x
  3. Step 3: Cross multiply
    162.33x = 242.55 × 159.60
  4. Step 4: Simplify right side
    162.33x = 38,710.98
  5. Step 5: Solve for x
    x = 38,710.98/162.33
  6. Step 6: Final answer
    x = 238.47

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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.