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Finding the Fourth Proportional to 455.71, 684.94 and 302.16

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Solution

The fourth proportional to 455.71, 684.94 and 302.16 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.71 : 684.94 = 302.16 : x
  2. Step 2: Convert to fraction form
    455.71/684.94 = 302.16/x
  3. Step 3: Cross multiply
    455.71x = 684.94 × 302.16
  4. Step 4: Simplify right side
    455.71x = 206,961.47
  5. Step 5: Solve for x
    x = 206,961.47/455.71
  6. Step 6: Final answer
    x = 454.15

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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.