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Finding the Fourth Proportional to 407.19, 562.02 and 259.98

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Solution

The fourth proportional to 407.19, 562.02 and 259.98 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 562.02 = 259.98 : x
  2. Step 2: Convert to fraction form
    407.19/562.02 = 259.98/x
  3. Step 3: Cross multiply
    407.19x = 562.02 × 259.98
  4. Step 4: Simplify right side
    407.19x = 146,113.96
  5. Step 5: Solve for x
    x = 146,113.96/407.19
  6. Step 6: Final answer
    x = 358.83

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Double scale
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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.