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Finding the Fourth Proportional to 210.06, 313.32 and 179.28

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Solution

The fourth proportional to 210.06, 313.32 and 179.28 is: 267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 313.32 = 179.28 : x
  2. Step 2: Convert to fraction form
    210.06/313.32 = 179.28/x
  3. Step 3: Cross multiply
    210.06x = 313.32 × 179.28
  4. Step 4: Simplify right side
    210.06x = 56,172.01
  5. Step 5: Solve for x
    x = 56,172.01/210.06
  6. Step 6: Final answer
    x = 267.41

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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.