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Finding the Fourth Proportional to 314.88, 433.80 and 259.44

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Solution

The fourth proportional to 314.88, 433.80 and 259.44 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 433.80 = 259.44 : x
  2. Step 2: Convert to fraction form
    314.88/433.80 = 259.44/x
  3. Step 3: Cross multiply
    314.88x = 433.80 × 259.44
  4. Step 4: Simplify right side
    314.88x = 112,545.07
  5. Step 5: Solve for x
    x = 112,545.07/314.88
  6. Step 6: Final answer
    x = 357.42

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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.