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Finding the Fourth Proportional to 370.39, 510.10 and 330.88

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Solution

The fourth proportional to 370.39, 510.10 and 330.88 is: 455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.39 : 510.10 = 330.88 : x
  2. Step 2: Convert to fraction form
    370.39/510.10 = 330.88/x
  3. Step 3: Cross multiply
    370.39x = 510.10 × 330.88
  4. Step 4: Simplify right side
    370.39x = 168,781.89
  5. Step 5: Solve for x
    x = 168,781.89/370.39
  6. Step 6: Final answer
    x = 455.69

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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.