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Finding the Fourth Proportional to 218.24, 325.59 and 215.94

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Solution

The fourth proportional to 218.24, 325.59 and 215.94 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 325.59 = 215.94 : x
  2. Step 2: Convert to fraction form
    218.24/325.59 = 215.94/x
  3. Step 3: Cross multiply
    218.24x = 325.59 × 215.94
  4. Step 4: Simplify right side
    218.24x = 70,307.90
  5. Step 5: Solve for x
    x = 70,307.90/218.24
  6. Step 6: Final answer
    x = 322.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.