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Finding the Fourth Proportional to 285.02, 390.50 and 274.10

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Solution

The fourth proportional to 285.02, 390.50 and 274.10 is: 375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 390.50 = 274.10 : x
  2. Step 2: Convert to fraction form
    285.02/390.50 = 274.10/x
  3. Step 3: Cross multiply
    285.02x = 390.50 × 274.10
  4. Step 4: Simplify right side
    285.02x = 107,036.05
  5. Step 5: Solve for x
    x = 107,036.05/285.02
  6. Step 6: Final answer
    x = 375.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.