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Finding the Fourth Proportional to 526.98, 726.24 and 369.10

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Solution

The fourth proportional to 526.98, 726.24 and 369.10 is: 508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 726.24 = 369.10 : x
  2. Step 2: Convert to fraction form
    526.98/726.24 = 369.10/x
  3. Step 3: Cross multiply
    526.98x = 726.24 × 369.10
  4. Step 4: Simplify right side
    526.98x = 268,055.18
  5. Step 5: Solve for x
    x = 268,055.18/526.98
  6. Step 6: Final answer
    x = 508.66

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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.