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Finding the Fourth Proportional to 407.19, 561.82 and 260.02

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Solution

The fourth proportional to 407.19, 561.82 and 260.02 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.82 = 260.02 : x
  2. Step 2: Convert to fraction form
    407.19/561.82 = 260.02/x
  3. Step 3: Cross multiply
    407.19x = 561.82 × 260.02
  4. Step 4: Simplify right side
    407.19x = 146,084.44
  5. Step 5: Solve for x
    x = 146,084.44/407.19
  6. Step 6: Final answer
    x = 358.76

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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.