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Finding the Fourth Proportional to 426.58, 586.13 and 339.10

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Solution

The fourth proportional to 426.58, 586.13 and 339.10 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 586.13 = 339.10 : x
  2. Step 2: Convert to fraction form
    426.58/586.13 = 339.10/x
  3. Step 3: Cross multiply
    426.58x = 586.13 × 339.10
  4. Step 4: Simplify right side
    426.58x = 198,759.36
  5. Step 5: Solve for x
    x = 198,759.36/426.58
  6. Step 6: Final answer
    x = 465.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.