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Finding the Fourth Proportional to 219.13, 302.16 and 156.85

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Solution

The fourth proportional to 219.13, 302.16 and 156.85 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 302.16 = 156.85 : x
  2. Step 2: Convert to fraction form
    219.13/302.16 = 156.85/x
  3. Step 3: Cross multiply
    219.13x = 302.16 × 156.85
  4. Step 4: Simplify right side
    219.13x = 47,394.22
  5. Step 5: Solve for x
    x = 47,394.22/219.13
  6. Step 6: Final answer
    x = 216.29

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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.