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Finding the Fourth Proportional to 536.96, 805.60 and 342.08

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Solution

The fourth proportional to 536.96, 805.60 and 342.08 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 805.60 = 342.08 : x
  2. Step 2: Convert to fraction form
    536.96/805.60 = 342.08/x
  3. Step 3: Cross multiply
    536.96x = 805.60 × 342.08
  4. Step 4: Simplify right side
    536.96x = 275,579.65
  5. Step 5: Solve for x
    x = 275,579.65/536.96
  6. Step 6: Final answer
    x = 513.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.