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Finding the Fourth Proportional to 526.36, 725.67 and 368.78

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Solution

The fourth proportional to 526.36, 725.67 and 368.78 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 725.67 = 368.78 : x
  2. Step 2: Convert to fraction form
    526.36/725.67 = 368.78/x
  3. Step 3: Cross multiply
    526.36x = 725.67 × 368.78
  4. Step 4: Simplify right side
    526.36x = 267,612.58
  5. Step 5: Solve for x
    x = 267,612.58/526.36
  6. Step 6: Final answer
    x = 508.42

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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.