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Finding the Fourth Proportional to 210.15, 313.49 and 176.13

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Solution

The fourth proportional to 210.15, 313.49 and 176.13 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 313.49 = 176.13 : x
  2. Step 2: Convert to fraction form
    210.15/313.49 = 176.13/x
  3. Step 3: Cross multiply
    210.15x = 313.49 × 176.13
  4. Step 4: Simplify right side
    210.15x = 55,214.99
  5. Step 5: Solve for x
    x = 55,214.99/210.15
  6. Step 6: Final answer
    x = 262.74

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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.