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Finding the Fourth Proportional to 370.63, 555.31 and 309.68

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Solution

The fourth proportional to 370.63, 555.31 and 309.68 is: 463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.63 : 555.31 = 309.68 : x
  2. Step 2: Convert to fraction form
    370.63/555.31 = 309.68/x
  3. Step 3: Cross multiply
    370.63x = 555.31 × 309.68
  4. Step 4: Simplify right side
    370.63x = 171,968.40
  5. Step 5: Solve for x
    x = 171,968.40/370.63
  6. Step 6: Final answer
    x = 463.99

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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.