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Finding the Fourth Proportional to 611.83, 916.12 and 368.02

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Solution

The fourth proportional to 611.83, 916.12 and 368.02 is: 551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.83 : 916.12 = 368.02 : x
  2. Step 2: Convert to fraction form
    611.83/916.12 = 368.02/x
  3. Step 3: Cross multiply
    611.83x = 916.12 × 368.02
  4. Step 4: Simplify right side
    611.83x = 337,144.06
  5. Step 5: Solve for x
    x = 337,144.06/611.83
  6. Step 6: Final answer
    x = 551.05

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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.