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Finding the Fourth Proportional to 374.03, 559.80 and 309.02

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Solution

The fourth proportional to 374.03, 559.80 and 309.02 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.03 : 559.80 = 309.02 : x
  2. Step 2: Convert to fraction form
    374.03/559.80 = 309.02/x
  3. Step 3: Cross multiply
    374.03x = 559.80 × 309.02
  4. Step 4: Simplify right side
    374.03x = 172,989.40
  5. Step 5: Solve for x
    x = 172,989.40/374.03
  6. Step 6: Final answer
    x = 462.50

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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.