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Finding the Fourth Proportional to 456.56, 684.93 and 251.02

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Solution

The fourth proportional to 456.56, 684.93 and 251.02 is: 376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 684.93 = 251.02 : x
  2. Step 2: Convert to fraction form
    456.56/684.93 = 251.02/x
  3. Step 3: Cross multiply
    456.56x = 684.93 × 251.02
  4. Step 4: Simplify right side
    456.56x = 171,931.13
  5. Step 5: Solve for x
    x = 171,931.13/456.56
  6. Step 6: Final answer
    x = 376.58

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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.