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Finding the Fourth Proportional to 426.48, 590.04 and 348.72

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Solution

The fourth proportional to 426.48, 590.04 and 348.72 is: 482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 590.04 = 348.72 : x
  2. Step 2: Convert to fraction form
    426.48/590.04 = 348.72/x
  3. Step 3: Cross multiply
    426.48x = 590.04 × 348.72
  4. Step 4: Simplify right side
    426.48x = 205,758.75
  5. Step 5: Solve for x
    x = 205,758.75/426.48
  6. Step 6: Final answer
    x = 482.46

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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.