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Finding the Fourth Proportional to 406.41, 607.04 and 348.36

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Solution

The fourth proportional to 406.41, 607.04 and 348.36 is: 520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.41 : 607.04 = 348.36 : x
  2. Step 2: Convert to fraction form
    406.41/607.04 = 348.36/x
  3. Step 3: Cross multiply
    406.41x = 607.04 × 348.36
  4. Step 4: Simplify right side
    406.41x = 211,466.71
  5. Step 5: Solve for x
    x = 211,466.71/406.41
  6. Step 6: Final answer
    x = 520.33

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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.