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Finding the Fourth Proportional to 370.75, 510.93 and 311.79

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Solution

The fourth proportional to 370.75, 510.93 and 311.79 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 510.93 = 311.79 : x
  2. Step 2: Convert to fraction form
    370.75/510.93 = 311.79/x
  3. Step 3: Cross multiply
    370.75x = 510.93 × 311.79
  4. Step 4: Simplify right side
    370.75x = 159,302.86
  5. Step 5: Solve for x
    x = 159,302.86/370.75
  6. Step 6: Final answer
    x = 429.68

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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.