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Finding the Fourth Proportional to 162.79, 224.40 and 116.07

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Solution

The fourth proportional to 162.79, 224.40 and 116.07 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 224.40 = 116.07 : x
  2. Step 2: Convert to fraction form
    162.79/224.40 = 116.07/x
  3. Step 3: Cross multiply
    162.79x = 224.40 × 116.07
  4. Step 4: Simplify right side
    162.79x = 26,045.70
  5. Step 5: Solve for x
    x = 26,045.70/162.79
  6. Step 6: Final answer
    x = 159.99

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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.