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Finding the Fourth Proportional to 386.02, 578.53 and 337.15

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Solution

The fourth proportional to 386.02, 578.53 and 337.15 is: 505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 578.53 = 337.15 : x
  2. Step 2: Convert to fraction form
    386.02/578.53 = 337.15/x
  3. Step 3: Cross multiply
    386.02x = 578.53 × 337.15
  4. Step 4: Simplify right side
    386.02x = 195,051.72
  5. Step 5: Solve for x
    x = 195,051.72/386.02
  6. Step 6: Final answer
    x = 505.29

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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.