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Finding the Fourth Proportional to 369.77, 509.90 and 253.13

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Solution

The fourth proportional to 369.77, 509.90 and 253.13 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.77 : 509.90 = 253.13 : x
  2. Step 2: Convert to fraction form
    369.77/509.90 = 253.13/x
  3. Step 3: Cross multiply
    369.77x = 509.90 × 253.13
  4. Step 4: Simplify right side
    369.77x = 129,067.17
  5. Step 5: Solve for x
    x = 129,067.17/369.77
  6. Step 6: Final answer
    x = 349.05

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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.