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Finding the Fourth Proportional to 162.35, 224.19 and 147.77

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Solution

The fourth proportional to 162.35, 224.19 and 147.77 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.35 : 224.19 = 147.77 : x
  2. Step 2: Convert to fraction form
    162.35/224.19 = 147.77/x
  3. Step 3: Cross multiply
    162.35x = 224.19 × 147.77
  4. Step 4: Simplify right side
    162.35x = 33,127.44
  5. Step 5: Solve for x
    x = 33,127.44/162.35
  6. Step 6: Final answer
    x = 204.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.