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Finding the Fourth Proportional to 389.16, 533.75 and 345.42

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Solution

The fourth proportional to 389.16, 533.75 and 345.42 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 533.75 = 345.42 : x
  2. Step 2: Convert to fraction form
    389.16/533.75 = 345.42/x
  3. Step 3: Cross multiply
    389.16x = 533.75 × 345.42
  4. Step 4: Simplify right side
    389.16x = 184,366.20
  5. Step 5: Solve for x
    x = 184,366.20/389.16
  6. Step 6: Final answer
    x = 473.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.