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Finding the Fourth Proportional to 342.51, 510.52 and 322.54

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Solution

The fourth proportional to 342.51, 510.52 and 322.54 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 510.52 = 322.54 : x
  2. Step 2: Convert to fraction form
    342.51/510.52 = 322.54/x
  3. Step 3: Cross multiply
    342.51x = 510.52 × 322.54
  4. Step 4: Simplify right side
    342.51x = 164,662.95
  5. Step 5: Solve for x
    x = 164,662.95/342.51
  6. Step 6: Final answer
    x = 480.75

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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.