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Finding the Fourth Proportional to 403.20, 601.47 and 362.16

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Solution

The fourth proportional to 403.20, 601.47 and 362.16 is: 540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.20 : 601.47 = 362.16 : x
  2. Step 2: Convert to fraction form
    403.20/601.47 = 362.16/x
  3. Step 3: Cross multiply
    403.20x = 601.47 × 362.16
  4. Step 4: Simplify right side
    403.20x = 217,828.38
  5. Step 5: Solve for x
    x = 217,828.38/403.20
  6. Step 6: Final answer
    x = 540.25

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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.