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Finding the Fourth Proportional to 210.88, 314.80 and 178.48

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Solution

The fourth proportional to 210.88, 314.80 and 178.48 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 314.80 = 178.48 : x
  2. Step 2: Convert to fraction form
    210.88/314.80 = 178.48/x
  3. Step 3: Cross multiply
    210.88x = 314.80 × 178.48
  4. Step 4: Simplify right side
    210.88x = 56,185.50
  5. Step 5: Solve for x
    x = 56,185.50/210.88
  6. Step 6: Final answer
    x = 266.43

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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.