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Finding the Fourth Proportional to 342.51, 511.43 and 272.30

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Solution

The fourth proportional to 342.51, 511.43 and 272.30 is: 406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 511.43 = 272.30 : x
  2. Step 2: Convert to fraction form
    342.51/511.43 = 272.30/x
  3. Step 3: Cross multiply
    342.51x = 511.43 × 272.30
  4. Step 4: Simplify right side
    342.51x = 139,261.71
  5. Step 5: Solve for x
    x = 139,261.71/342.51
  6. Step 6: Final answer
    x = 406.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.