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Finding the Fourth Proportional to 369.99, 510.71 and 252.14

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Solution

The fourth proportional to 369.99, 510.71 and 252.14 is: 348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 510.71 = 252.14 : x
  2. Step 2: Convert to fraction form
    369.99/510.71 = 252.14/x
  3. Step 3: Cross multiply
    369.99x = 510.71 × 252.14
  4. Step 4: Simplify right side
    369.99x = 128,766.61
  5. Step 5: Solve for x
    x = 128,766.61/369.99
  6. Step 6: Final answer
    x = 348.03

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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.