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Finding the Fourth Proportional to 431.65, 595.51 and 263.51

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Solution

The fourth proportional to 431.65, 595.51 and 263.51 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 595.51 = 263.51 : x
  2. Step 2: Convert to fraction form
    431.65/595.51 = 263.51/x
  3. Step 3: Cross multiply
    431.65x = 595.51 × 263.51
  4. Step 4: Simplify right side
    431.65x = 156,922.84
  5. Step 5: Solve for x
    x = 156,922.84/431.65
  6. Step 6: Final answer
    x = 363.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.