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Finding the Fourth Proportional to 270.48, 403.02 and 266.16

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Solution

The fourth proportional to 270.48, 403.02 and 266.16 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.48 : 403.02 = 266.16 : x
  2. Step 2: Convert to fraction form
    270.48/403.02 = 266.16/x
  3. Step 3: Cross multiply
    270.48x = 403.02 × 266.16
  4. Step 4: Simplify right side
    270.48x = 107,267.80
  5. Step 5: Solve for x
    x = 107,267.80/270.48
  6. Step 6: Final answer
    x = 396.58

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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.