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Finding the Fourth Proportional to 294.90, 405.98 and 256.09

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Solution

The fourth proportional to 294.90, 405.98 and 256.09 is: 352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 405.98 = 256.09 : x
  2. Step 2: Convert to fraction form
    294.90/405.98 = 256.09/x
  3. Step 3: Cross multiply
    294.90x = 405.98 × 256.09
  4. Step 4: Simplify right side
    294.90x = 103,967.42
  5. Step 5: Solve for x
    x = 103,967.42/294.90
  6. Step 6: Final answer
    x = 352.55

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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.