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Finding the Fourth Proportional to 210.91, 317.92 and 175.07

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Solution

The fourth proportional to 210.91, 317.92 and 175.07 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.91 : 317.92 = 175.07 : x
  2. Step 2: Convert to fraction form
    210.91/317.92 = 175.07/x
  3. Step 3: Cross multiply
    210.91x = 317.92 × 175.07
  4. Step 4: Simplify right side
    210.91x = 55,656.66
  5. Step 5: Solve for x
    x = 55,656.66/210.91
  6. Step 6: Final answer
    x = 263.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.