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Finding the Fourth Proportional to 342.02, 510.54 and 301.02

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Solution

The fourth proportional to 342.02, 510.54 and 301.02 is: 449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.02 : 510.54 = 301.02 : x
  2. Step 2: Convert to fraction form
    342.02/510.54 = 301.02/x
  3. Step 3: Cross multiply
    342.02x = 510.54 × 301.02
  4. Step 4: Simplify right side
    342.02x = 153,679.71
  5. Step 5: Solve for x
    x = 153,679.71/342.02
  6. Step 6: Final answer
    x = 449.33

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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.