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Finding the Fourth Proportional to 210.67, 314.26 and 178.37

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Solution

The fourth proportional to 210.67, 314.26 and 178.37 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.67 : 314.26 = 178.37 : x
  2. Step 2: Convert to fraction form
    210.67/314.26 = 178.37/x
  3. Step 3: Cross multiply
    210.67x = 314.26 × 178.37
  4. Step 4: Simplify right side
    210.67x = 56,054.72
  5. Step 5: Solve for x
    x = 56,054.72/210.67
  6. Step 6: Final answer
    x = 266.08

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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.