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Finding the Fourth Proportional to 370.63, 553.60 and 309.84

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Solution

The fourth proportional to 370.63, 553.60 and 309.84 is: 462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.63 : 553.60 = 309.84 : x
  2. Step 2: Convert to fraction form
    370.63/553.60 = 309.84/x
  3. Step 3: Cross multiply
    370.63x = 553.60 × 309.84
  4. Step 4: Simplify right side
    370.63x = 171,527.42
  5. Step 5: Solve for x
    x = 171,527.42/370.63
  6. Step 6: Final answer
    x = 462.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.