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Finding the Fourth Proportional to 162.60, 242.21 and 158.02

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Solution

The fourth proportional to 162.60, 242.21 and 158.02 is: 235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.60 : 242.21 = 158.02 : x
  2. Step 2: Convert to fraction form
    162.60/242.21 = 158.02/x
  3. Step 3: Cross multiply
    162.60x = 242.21 × 158.02
  4. Step 4: Simplify right side
    162.60x = 38,274.02
  5. Step 5: Solve for x
    x = 38,274.02/162.60
  6. Step 6: Final answer
    x = 235.39

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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.