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Finding the Fourth Proportional to 162.48, 242.32 and 158.32

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Solution

The fourth proportional to 162.48, 242.32 and 158.32 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.48 : 242.32 = 158.32 : x
  2. Step 2: Convert to fraction form
    162.48/242.32 = 158.32/x
  3. Step 3: Cross multiply
    162.48x = 242.32 × 158.32
  4. Step 4: Simplify right side
    162.48x = 38,364.10
  5. Step 5: Solve for x
    x = 38,364.10/162.48
  6. Step 6: Final answer
    x = 236.12

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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.