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Finding the Fourth Proportional to 312.62, 469.02 and 130.10

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Solution

The fourth proportional to 312.62, 469.02 and 130.10 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.62 : 469.02 = 130.10 : x
  2. Step 2: Convert to fraction form
    312.62/469.02 = 130.10/x
  3. Step 3: Cross multiply
    312.62x = 469.02 × 130.10
  4. Step 4: Simplify right side
    312.62x = 61,019.50
  5. Step 5: Solve for x
    x = 61,019.50/312.62
  6. Step 6: Final answer
    x = 195.19

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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.