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Finding the Fourth Proportional to 369.62, 510.53 and 276.78

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Solution

The fourth proportional to 369.62, 510.53 and 276.78 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.62 : 510.53 = 276.78 : x
  2. Step 2: Convert to fraction form
    369.62/510.53 = 276.78/x
  3. Step 3: Cross multiply
    369.62x = 510.53 × 276.78
  4. Step 4: Simplify right side
    369.62x = 141,304.67
  5. Step 5: Solve for x
    x = 141,304.67/369.62
  6. Step 6: Final answer
    x = 382.30

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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.