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Finding the Fourth Proportional to 213.04, 317.71 and 187.48

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Solution

The fourth proportional to 213.04, 317.71 and 187.48 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 317.71 = 187.48 : x
  2. Step 2: Convert to fraction form
    213.04/317.71 = 187.48/x
  3. Step 3: Cross multiply
    213.04x = 317.71 × 187.48
  4. Step 4: Simplify right side
    213.04x = 59,564.27
  5. Step 5: Solve for x
    x = 59,564.27/213.04
  6. Step 6: Final answer
    x = 279.59

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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.