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Finding the Fourth Proportional to 465, 695.41 and 355.35

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Solution

The fourth proportional to 465, 695.41 and 355.35 is: 531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 695.41 = 355.35 : x
  2. Step 2: Convert to fraction form
    465/695.41 = 355.35/x
  3. Step 3: Cross multiply
    465x = 695.41 × 355.35
  4. Step 4: Simplify right side
    465x = 247,113.94
  5. Step 5: Solve for x
    x = 247,113.94/465
  6. Step 6: Final answer
    x = 531.43

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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.