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Finding the Fourth Proportional to 215.19, 320.20 and 214.47

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Solution

The fourth proportional to 215.19, 320.20 and 214.47 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 320.20 = 214.47 : x
  2. Step 2: Convert to fraction form
    215.19/320.20 = 214.47/x
  3. Step 3: Cross multiply
    215.19x = 320.20 × 214.47
  4. Step 4: Simplify right side
    215.19x = 68,672.22
  5. Step 5: Solve for x
    x = 68,672.22/215.19
  6. Step 6: Final answer
    x = 319.12

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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.