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Finding the Fourth Proportional to 212.79, 320.66 and 177.02

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Solution

The fourth proportional to 212.79, 320.66 and 177.02 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.79 : 320.66 = 177.02 : x
  2. Step 2: Convert to fraction form
    212.79/320.66 = 177.02/x
  3. Step 3: Cross multiply
    212.79x = 320.66 × 177.02
  4. Step 4: Simplify right side
    212.79x = 56,762.61
  5. Step 5: Solve for x
    x = 56,762.61/212.79
  6. Step 6: Final answer
    x = 266.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.