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Finding the Fourth Proportional to 339.93, 469.78 and 257

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Solution

The fourth proportional to 339.93, 469.78 and 257 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.93 : 469.78 = 257 : x
  2. Step 2: Convert to fraction form
    339.93/469.78 = 257/x
  3. Step 3: Cross multiply
    339.93x = 469.78 × 257
  4. Step 4: Simplify right side
    339.93x = 120,733.46
  5. Step 5: Solve for x
    x = 120,733.46/339.93
  6. Step 6: Final answer
    x = 355.17

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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.