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Finding the Fourth Proportional to 369.78, 509.52 and 253.14

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Solution

The fourth proportional to 369.78, 509.52 and 253.14 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 509.52 = 253.14 : x
  2. Step 2: Convert to fraction form
    369.78/509.52 = 253.14/x
  3. Step 3: Cross multiply
    369.78x = 509.52 × 253.14
  4. Step 4: Simplify right side
    369.78x = 128,979.89
  5. Step 5: Solve for x
    x = 128,979.89/369.78
  6. Step 6: Final answer
    x = 348.80

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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.