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Finding the Fourth Proportional to 270.77, 404.47 and 257.45

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Solution

The fourth proportional to 270.77, 404.47 and 257.45 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.77 : 404.47 = 257.45 : x
  2. Step 2: Convert to fraction form
    270.77/404.47 = 257.45/x
  3. Step 3: Cross multiply
    270.77x = 404.47 × 257.45
  4. Step 4: Simplify right side
    270.77x = 104,130.80
  5. Step 5: Solve for x
    x = 104,130.80/270.77
  6. Step 6: Final answer
    x = 384.57

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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.