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Finding the Fourth Proportional to 352.77, 525.52 and 342.02

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Solution

The fourth proportional to 352.77, 525.52 and 342.02 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 525.52 = 342.02 : x
  2. Step 2: Convert to fraction form
    352.77/525.52 = 342.02/x
  3. Step 3: Cross multiply
    352.77x = 525.52 × 342.02
  4. Step 4: Simplify right side
    352.77x = 179,740.09
  5. Step 5: Solve for x
    x = 179,740.09/352.77
  6. Step 6: Final answer
    x = 509.51

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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.