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Finding the Fourth Proportional to 162.10, 242.04 and 159.06

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Solution

The fourth proportional to 162.10, 242.04 and 159.06 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.10 : 242.04 = 159.06 : x
  2. Step 2: Convert to fraction form
    162.10/242.04 = 159.06/x
  3. Step 3: Cross multiply
    162.10x = 242.04 × 159.06
  4. Step 4: Simplify right side
    162.10x = 38,498.88
  5. Step 5: Solve for x
    x = 38,498.88/162.10
  6. Step 6: Final answer
    x = 237.50

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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.