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Finding the Fourth Proportional to 427.47, 587.36 and 339.99

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Solution

The fourth proportional to 427.47, 587.36 and 339.99 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.47 : 587.36 = 339.99 : x
  2. Step 2: Convert to fraction form
    427.47/587.36 = 339.99/x
  3. Step 3: Cross multiply
    427.47x = 587.36 × 339.99
  4. Step 4: Simplify right side
    427.47x = 199,696.53
  5. Step 5: Solve for x
    x = 199,696.53/427.47
  6. Step 6: Final answer
    x = 467.16

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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.