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Finding the Fourth Proportional to 378.23, 522.02 and 260.10

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Solution

The fourth proportional to 378.23, 522.02 and 260.10 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 522.02 = 260.10 : x
  2. Step 2: Convert to fraction form
    378.23/522.02 = 260.10/x
  3. Step 3: Cross multiply
    378.23x = 522.02 × 260.10
  4. Step 4: Simplify right side
    378.23x = 135,778.55
  5. Step 5: Solve for x
    x = 135,778.55/378.23
  6. Step 6: Final answer
    x = 358.99

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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.