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Finding the Fourth Proportional to 400.48, 603.06 and 349.74

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Solution

The fourth proportional to 400.48, 603.06 and 349.74 is: 526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 603.06 = 349.74 : x
  2. Step 2: Convert to fraction form
    400.48/603.06 = 349.74/x
  3. Step 3: Cross multiply
    400.48x = 603.06 × 349.74
  4. Step 4: Simplify right side
    400.48x = 210,914.20
  5. Step 5: Solve for x
    x = 210,914.20/400.48
  6. Step 6: Final answer
    x = 526.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.