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Finding the Fourth Proportional to 369.69, 510.13 and 203.86

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Solution

The fourth proportional to 369.69, 510.13 and 203.86 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.69 : 510.13 = 203.86 : x
  2. Step 2: Convert to fraction form
    369.69/510.13 = 203.86/x
  3. Step 3: Cross multiply
    369.69x = 510.13 × 203.86
  4. Step 4: Simplify right side
    369.69x = 103,995.10
  5. Step 5: Solve for x
    x = 103,995.10/369.69
  6. Step 6: Final answer
    x = 281.30

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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.