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Finding the Fourth Proportional to 229.50, 316.80 and 152.10

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Solution

The fourth proportional to 229.50, 316.80 and 152.10 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 316.80 = 152.10 : x
  2. Step 2: Convert to fraction form
    229.50/316.80 = 152.10/x
  3. Step 3: Cross multiply
    229.50x = 316.80 × 152.10
  4. Step 4: Simplify right side
    229.50x = 48,185.28
  5. Step 5: Solve for x
    x = 48,185.28/229.50
  6. Step 6: Final answer
    x = 209.96

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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.