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Finding the Fourth Proportional to 370.71, 553.64 and 309.35

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Solution

The fourth proportional to 370.71, 553.64 and 309.35 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.71 : 553.64 = 309.35 : x
  2. Step 2: Convert to fraction form
    370.71/553.64 = 309.35/x
  3. Step 3: Cross multiply
    370.71x = 553.64 × 309.35
  4. Step 4: Simplify right side
    370.71x = 171,268.37
  5. Step 5: Solve for x
    x = 171,268.37/370.71
  6. Step 6: Final answer
    x = 462.00

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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.