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Finding the Fourth Proportional to 342.02, 510.90 and 293.42

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Solution

The fourth proportional to 342.02, 510.90 and 293.42 is: 438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.02 : 510.90 = 293.42 : x
  2. Step 2: Convert to fraction form
    342.02/510.90 = 293.42/x
  3. Step 3: Cross multiply
    342.02x = 510.90 × 293.42
  4. Step 4: Simplify right side
    342.02x = 149,908.28
  5. Step 5: Solve for x
    x = 149,908.28/342.02
  6. Step 6: Final answer
    x = 438.30

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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.