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Finding the Fourth Proportional to 176.12, 242.88 and 117.80

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Solution

The fourth proportional to 176.12, 242.88 and 117.80 is: 162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 242.88 = 117.80 : x
  2. Step 2: Convert to fraction form
    176.12/242.88 = 117.80/x
  3. Step 3: Cross multiply
    176.12x = 242.88 × 117.80
  4. Step 4: Simplify right side
    176.12x = 28,611.26
  5. Step 5: Solve for x
    x = 28,611.26/176.12
  6. Step 6: Final answer
    x = 162.45

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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.