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Finding the Fourth Proportional to 162.92, 242.77 and 153.32

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Solution

The fourth proportional to 162.92, 242.77 and 153.32 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 242.77 = 153.32 : x
  2. Step 2: Convert to fraction form
    162.92/242.77 = 153.32/x
  3. Step 3: Cross multiply
    162.92x = 242.77 × 153.32
  4. Step 4: Simplify right side
    162.92x = 37,221.50
  5. Step 5: Solve for x
    x = 37,221.50/162.92
  6. Step 6: Final answer
    x = 228.46

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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.