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Finding the Fourth Proportional to 427.86, 590.40 and 259.74

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Solution

The fourth proportional to 427.86, 590.40 and 259.74 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 590.40 = 259.74 : x
  2. Step 2: Convert to fraction form
    427.86/590.40 = 259.74/x
  3. Step 3: Cross multiply
    427.86x = 590.40 × 259.74
  4. Step 4: Simplify right side
    427.86x = 153,350.50
  5. Step 5: Solve for x
    x = 153,350.50/427.86
  6. Step 6: Final answer
    x = 358.41

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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.