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Finding the Fourth Proportional to 389.74, 538.12 and 242.50

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Solution

The fourth proportional to 389.74, 538.12 and 242.50 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 538.12 = 242.50 : x
  2. Step 2: Convert to fraction form
    389.74/538.12 = 242.50/x
  3. Step 3: Cross multiply
    389.74x = 538.12 × 242.50
  4. Step 4: Simplify right side
    389.74x = 130,494.10
  5. Step 5: Solve for x
    x = 130,494.10/389.74
  6. Step 6: Final answer
    x = 334.82

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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.