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Finding the Fourth Proportional to 212.79, 317.47 and 189.71

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Solution

The fourth proportional to 212.79, 317.47 and 189.71 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.79 : 317.47 = 189.71 : x
  2. Step 2: Convert to fraction form
    212.79/317.47 = 189.71/x
  3. Step 3: Cross multiply
    212.79x = 317.47 × 189.71
  4. Step 4: Simplify right side
    212.79x = 60,225.17
  5. Step 5: Solve for x
    x = 60,225.17/212.79
  6. Step 6: Final answer
    x = 283.03

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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.