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Finding the Fourth Proportional to 306.77, 457.91 and 270.32

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Solution

The fourth proportional to 306.77, 457.91 and 270.32 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 457.91 = 270.32 : x
  2. Step 2: Convert to fraction form
    306.77/457.91 = 270.32/x
  3. Step 3: Cross multiply
    306.77x = 457.91 × 270.32
  4. Step 4: Simplify right side
    306.77x = 123,782.23
  5. Step 5: Solve for x
    x = 123,782.23/306.77
  6. Step 6: Final answer
    x = 403.50

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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.