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Finding the Fourth Proportional to 390.02, 538.09 and 242.54

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Solution

The fourth proportional to 390.02, 538.09 and 242.54 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 538.09 = 242.54 : x
  2. Step 2: Convert to fraction form
    390.02/538.09 = 242.54/x
  3. Step 3: Cross multiply
    390.02x = 538.09 × 242.54
  4. Step 4: Simplify right side
    390.02x = 130,511.46
  5. Step 5: Solve for x
    x = 130,511.46/390.02
  6. Step 6: Final answer
    x = 334.63

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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.