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Finding the Fourth Proportional to 313.79, 432.10 and 269.20

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Solution

The fourth proportional to 313.79, 432.10 and 269.20 is: 370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.79 : 432.10 = 269.20 : x
  2. Step 2: Convert to fraction form
    313.79/432.10 = 269.20/x
  3. Step 3: Cross multiply
    313.79x = 432.10 × 269.20
  4. Step 4: Simplify right side
    313.79x = 116,321.32
  5. Step 5: Solve for x
    x = 116,321.32/313.79
  6. Step 6: Final answer
    x = 370.70

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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.