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Finding the Fourth Proportional to 361.95, 545.35 and 313.35

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Solution

The fourth proportional to 361.95, 545.35 and 313.35 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.95 : 545.35 = 313.35 : x
  2. Step 2: Convert to fraction form
    361.95/545.35 = 313.35/x
  3. Step 3: Cross multiply
    361.95x = 545.35 × 313.35
  4. Step 4: Simplify right side
    361.95x = 170,884.64
  5. Step 5: Solve for x
    x = 170,884.64/361.95
  6. Step 6: Final answer
    x = 472.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.