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Finding the Fourth Proportional to 306.21, 457.18 and 277.53

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Solution

The fourth proportional to 306.21, 457.18 and 277.53 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 457.18 = 277.53 : x
  2. Step 2: Convert to fraction form
    306.21/457.18 = 277.53/x
  3. Step 3: Cross multiply
    306.21x = 457.18 × 277.53
  4. Step 4: Simplify right side
    306.21x = 126,878.76
  5. Step 5: Solve for x
    x = 126,878.76/306.21
  6. Step 6: Final answer
    x = 414.35

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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.