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Finding the Fourth Proportional to 342.08, 510.04 and 318.96

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Solution

The fourth proportional to 342.08, 510.04 and 318.96 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.08 : 510.04 = 318.96 : x
  2. Step 2: Convert to fraction form
    342.08/510.04 = 318.96/x
  3. Step 3: Cross multiply
    342.08x = 510.04 × 318.96
  4. Step 4: Simplify right side
    342.08x = 162,682.36
  5. Step 5: Solve for x
    x = 162,682.36/342.08
  6. Step 6: Final answer
    x = 475.57

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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.