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Finding the Fourth Proportional to 916.42, 1,374.38 and 361.04

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Solution

The fourth proportional to 916.42, 1,374.38 and 361.04 is: 541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.42 : 1,374.38 = 361.04 : x
  2. Step 2: Convert to fraction form
    916.42/1,374.38 = 361.04/x
  3. Step 3: Cross multiply
    916.42x = 1,374.38 × 361.04
  4. Step 4: Simplify right side
    916.42x = 496,206.16
  5. Step 5: Solve for x
    x = 496,206.16/916.42
  6. Step 6: Final answer
    x = 541.46

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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.