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Finding the Fourth Proportional to 292.10, 403.53 and 215.42

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Solution

The fourth proportional to 292.10, 403.53 and 215.42 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 403.53 = 215.42 : x
  2. Step 2: Convert to fraction form
    292.10/403.53 = 215.42/x
  3. Step 3: Cross multiply
    292.10x = 403.53 × 215.42
  4. Step 4: Simplify right side
    292.10x = 86,928.43
  5. Step 5: Solve for x
    x = 86,928.43/292.10
  6. Step 6: Final answer
    x = 297.60

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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.