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Finding the Fourth Proportional to 386.54, 533.68 and 345.50

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Solution

The fourth proportional to 386.54, 533.68 and 345.50 is: 477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.54 : 533.68 = 345.50 : x
  2. Step 2: Convert to fraction form
    386.54/533.68 = 345.50/x
  3. Step 3: Cross multiply
    386.54x = 533.68 × 345.50
  4. Step 4: Simplify right side
    386.54x = 184,386.44
  5. Step 5: Solve for x
    x = 184,386.44/386.54
  6. Step 6: Final answer
    x = 477.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.