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Finding the Fourth Proportional to 210.06, 313.74 and 185.76

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Solution

The fourth proportional to 210.06, 313.74 and 185.76 is: 277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 313.74 = 185.76 : x
  2. Step 2: Convert to fraction form
    210.06/313.74 = 185.76/x
  3. Step 3: Cross multiply
    210.06x = 313.74 × 185.76
  4. Step 4: Simplify right side
    210.06x = 58,280.34
  5. Step 5: Solve for x
    x = 58,280.34/210.06
  6. Step 6: Final answer
    x = 277.45

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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.