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Finding the Fourth Proportional to 294.84, 405.90 and 257.98

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Solution

The fourth proportional to 294.84, 405.90 and 257.98 is: 355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 405.90 = 257.98 : x
  2. Step 2: Convert to fraction form
    294.84/405.90 = 257.98/x
  3. Step 3: Cross multiply
    294.84x = 405.90 × 257.98
  4. Step 4: Simplify right side
    294.84x = 104,714.08
  5. Step 5: Solve for x
    x = 104,714.08/294.84
  6. Step 6: Final answer
    x = 355.16

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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.