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Finding the Fourth Proportional to 212.30, 317.00 and 187.39

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Solution

The fourth proportional to 212.30, 317.00 and 187.39 is: 279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 317.00 = 187.39 : x
  2. Step 2: Convert to fraction form
    212.30/317.00 = 187.39/x
  3. Step 3: Cross multiply
    212.30x = 317.00 × 187.39
  4. Step 4: Simplify right side
    212.30x = 59,401.51
  5. Step 5: Solve for x
    x = 59,401.51/212.30
  6. Step 6: Final answer
    x = 279.80

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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.