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Finding the Fourth Proportional to 213.69, 320.19 and 152.72

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Solution

The fourth proportional to 213.69, 320.19 and 152.72 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 320.19 = 152.72 : x
  2. Step 2: Convert to fraction form
    213.69/320.19 = 152.72/x
  3. Step 3: Cross multiply
    213.69x = 320.19 × 152.72
  4. Step 4: Simplify right side
    213.69x = 48,897.82
  5. Step 5: Solve for x
    x = 48,897.82/213.69
  6. Step 6: Final answer
    x = 228.83

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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.