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Finding the Fourth Proportional to 526.21, 726.15 and 293.32

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Solution

The fourth proportional to 526.21, 726.15 and 293.32 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.21 : 726.15 = 293.32 : x
  2. Step 2: Convert to fraction form
    526.21/726.15 = 293.32/x
  3. Step 3: Cross multiply
    526.21x = 726.15 × 293.32
  4. Step 4: Simplify right side
    526.21x = 212,994.32
  5. Step 5: Solve for x
    x = 212,994.32/526.21
  6. Step 6: Final answer
    x = 404.77

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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.