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Finding the Fourth Proportional to 389.78, 537.62 and 242.32

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Solution

The fourth proportional to 389.78, 537.62 and 242.32 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.78 : 537.62 = 242.32 : x
  2. Step 2: Convert to fraction form
    389.78/537.62 = 242.32/x
  3. Step 3: Cross multiply
    389.78x = 537.62 × 242.32
  4. Step 4: Simplify right side
    389.78x = 130,276.08
  5. Step 5: Solve for x
    x = 130,276.08/389.78
  6. Step 6: Final answer
    x = 334.23

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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.