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Finding the Fourth Proportional to 369.60, 510.06 and 203.83

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Solution

The fourth proportional to 369.60, 510.06 and 203.83 is: 281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 510.06 = 203.83 : x
  2. Step 2: Convert to fraction form
    369.60/510.06 = 203.83/x
  3. Step 3: Cross multiply
    369.60x = 510.06 × 203.83
  4. Step 4: Simplify right side
    369.60x = 103,965.53
  5. Step 5: Solve for x
    x = 103,965.53/369.60
  6. Step 6: Final answer
    x = 281.29

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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.