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Finding the Fourth Proportional to 455.28, 681.48 and 386.16

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Solution

The fourth proportional to 455.28, 681.48 and 386.16 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 681.48 = 386.16 : x
  2. Step 2: Convert to fraction form
    455.28/681.48 = 386.16/x
  3. Step 3: Cross multiply
    455.28x = 681.48 × 386.16
  4. Step 4: Simplify right side
    455.28x = 263,160.32
  5. Step 5: Solve for x
    x = 263,160.32/455.28
  6. Step 6: Final answer
    x = 578.02

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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.