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Finding the Fourth Proportional to 270.17, 404.74 and 139.98

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Solution

The fourth proportional to 270.17, 404.74 and 139.98 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.17 : 404.74 = 139.98 : x
  2. Step 2: Convert to fraction form
    270.17/404.74 = 139.98/x
  3. Step 3: Cross multiply
    270.17x = 404.74 × 139.98
  4. Step 4: Simplify right side
    270.17x = 56,655.51
  5. Step 5: Solve for x
    x = 56,655.51/270.17
  6. Step 6: Final answer
    x = 209.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.