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Finding the Fourth Proportional to 387.76, 535.62 and 369.53

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Solution

The fourth proportional to 387.76, 535.62 and 369.53 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 535.62 = 369.53 : x
  2. Step 2: Convert to fraction form
    387.76/535.62 = 369.53/x
  3. Step 3: Cross multiply
    387.76x = 535.62 × 369.53
  4. Step 4: Simplify right side
    387.76x = 197,930.38
  5. Step 5: Solve for x
    x = 197,930.38/387.76
  6. Step 6: Final answer
    x = 510.45

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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.