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Finding the Fourth Proportional to 317.04, 436.95 and 261.42

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Solution

The fourth proportional to 317.04, 436.95 and 261.42 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 436.95 = 261.42 : x
  2. Step 2: Convert to fraction form
    317.04/436.95 = 261.42/x
  3. Step 3: Cross multiply
    317.04x = 436.95 × 261.42
  4. Step 4: Simplify right side
    317.04x = 114,227.47
  5. Step 5: Solve for x
    x = 114,227.47/317.04
  6. Step 6: Final answer
    x = 360.29

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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.