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Finding the Fourth Proportional to 526.62, 726.75 and 293.76

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Solution

The fourth proportional to 526.62, 726.75 and 293.76 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.62 : 726.75 = 293.76 : x
  2. Step 2: Convert to fraction form
    526.62/726.75 = 293.76/x
  3. Step 3: Cross multiply
    526.62x = 726.75 × 293.76
  4. Step 4: Simplify right side
    526.62x = 213,490.08
  5. Step 5: Solve for x
    x = 213,490.08/526.62
  6. Step 6: Final answer
    x = 405.40

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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.