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Finding the Fourth Proportional to 526.54, 726.27 and 352.18

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Solution

The fourth proportional to 526.54, 726.27 and 352.18 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.54 : 726.27 = 352.18 : x
  2. Step 2: Convert to fraction form
    526.54/726.27 = 352.18/x
  3. Step 3: Cross multiply
    526.54x = 726.27 × 352.18
  4. Step 4: Simplify right side
    526.54x = 255,777.77
  5. Step 5: Solve for x
    x = 255,777.77/526.54
  6. Step 6: Final answer
    x = 485.77

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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.