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Finding the Fourth Proportional to 215.41, 322.40 and 176.99

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Solution

The fourth proportional to 215.41, 322.40 and 176.99 is: 264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.41 : 322.40 = 176.99 : x
  2. Step 2: Convert to fraction form
    215.41/322.40 = 176.99/x
  3. Step 3: Cross multiply
    215.41x = 322.40 × 176.99
  4. Step 4: Simplify right side
    215.41x = 57,060.41
  5. Step 5: Solve for x
    x = 57,060.41/215.41
  6. Step 6: Final answer
    x = 264.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.