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Finding the Fourth Proportional to 407.14, 608.23 and 259.72

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Solution

The fourth proportional to 407.14, 608.23 and 259.72 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 608.23 = 259.72 : x
  2. Step 2: Convert to fraction form
    407.14/608.23 = 259.72/x
  3. Step 3: Cross multiply
    407.14x = 608.23 × 259.72
  4. Step 4: Simplify right side
    407.14x = 157,967.10
  5. Step 5: Solve for x
    x = 157,967.10/407.14
  6. Step 6: Final answer
    x = 387.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.