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Finding the Fourth Proportional to 916.21, 1,373.23 and 338.41

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Solution

The fourth proportional to 916.21, 1,373.23 and 338.41 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.21 : 1,373.23 = 338.41 : x
  2. Step 2: Convert to fraction form
    916.21/1,373.23 = 338.41/x
  3. Step 3: Cross multiply
    916.21x = 1,373.23 × 338.41
  4. Step 4: Simplify right side
    916.21x = 464,714.76
  5. Step 5: Solve for x
    x = 464,714.76/916.21
  6. Step 6: Final answer
    x = 507.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.