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Finding the Fourth Proportional to 406.32, 606.68 and 348.45

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Solution

The fourth proportional to 406.32, 606.68 and 348.45 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 606.68 = 348.45 : x
  2. Step 2: Convert to fraction form
    406.32/606.68 = 348.45/x
  3. Step 3: Cross multiply
    406.32x = 606.68 × 348.45
  4. Step 4: Simplify right side
    406.32x = 211,395.90
  5. Step 5: Solve for x
    x = 211,395.90/406.32
  6. Step 6: Final answer
    x = 520.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.