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Finding the Fourth Proportional to 345.09, 475.91 and 292.58

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Solution

The fourth proportional to 345.09, 475.91 and 292.58 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.09 : 475.91 = 292.58 : x
  2. Step 2: Convert to fraction form
    345.09/475.91 = 292.58/x
  3. Step 3: Cross multiply
    345.09x = 475.91 × 292.58
  4. Step 4: Simplify right side
    345.09x = 139,237.91
  5. Step 5: Solve for x
    x = 139,237.91/345.09
  6. Step 6: Final answer
    x = 403.48

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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.