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Finding the Fourth Proportional to 340.53, 467.43 and 302.87

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Solution

The fourth proportional to 340.53, 467.43 and 302.87 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 467.43 = 302.87 : x
  2. Step 2: Convert to fraction form
    340.53/467.43 = 302.87/x
  3. Step 3: Cross multiply
    340.53x = 467.43 × 302.87
  4. Step 4: Simplify right side
    340.53x = 141,568.19
  5. Step 5: Solve for x
    x = 141,568.19/340.53
  6. Step 6: Final answer
    x = 415.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.