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Finding the Fourth Proportional to 370.67, 510.96 and 311.20

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Solution

The fourth proportional to 370.67, 510.96 and 311.20 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.67 : 510.96 = 311.20 : x
  2. Step 2: Convert to fraction form
    370.67/510.96 = 311.20/x
  3. Step 3: Cross multiply
    370.67x = 510.96 × 311.20
  4. Step 4: Simplify right side
    370.67x = 159,013.52
  5. Step 5: Solve for x
    x = 159,013.52/370.67
  6. Step 6: Final answer
    x = 429.00

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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.