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Finding the Fourth Proportional to 427.58, 587.51 and 340.10

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Solution

The fourth proportional to 427.58, 587.51 and 340.10 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 587.51 = 340.10 : x
  2. Step 2: Convert to fraction form
    427.58/587.51 = 340.10/x
  3. Step 3: Cross multiply
    427.58x = 587.51 × 340.10
  4. Step 4: Simplify right side
    427.58x = 199,812.15
  5. Step 5: Solve for x
    x = 199,812.15/427.58
  6. Step 6: Final answer
    x = 467.31

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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.