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Finding the Fourth Proportional to 312.48, 469.04 and 129.98

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Solution

The fourth proportional to 312.48, 469.04 and 129.98 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 469.04 = 129.98 : x
  2. Step 2: Convert to fraction form
    312.48/469.04 = 129.98/x
  3. Step 3: Cross multiply
    312.48x = 469.04 × 129.98
  4. Step 4: Simplify right side
    312.48x = 60,966.34
  5. Step 5: Solve for x
    x = 60,966.34/312.48
  6. Step 6: Final answer
    x = 195.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.