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Finding the Fourth Proportional to 212.90, 317.59 and 178.88

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Solution

The fourth proportional to 212.90, 317.59 and 178.88 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 317.59 = 178.88 : x
  2. Step 2: Convert to fraction form
    212.90/317.59 = 178.88/x
  3. Step 3: Cross multiply
    212.90x = 317.59 × 178.88
  4. Step 4: Simplify right side
    212.90x = 56,808.46
  5. Step 5: Solve for x
    x = 56,808.46/212.90
  6. Step 6: Final answer
    x = 266.84

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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.