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Finding the Fourth Proportional to 370.99, 556.64 and 176.12

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Solution

The fourth proportional to 370.99, 556.64 and 176.12 is: 264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.99 : 556.64 = 176.12 : x
  2. Step 2: Convert to fraction form
    370.99/556.64 = 176.12/x
  3. Step 3: Cross multiply
    370.99x = 556.64 × 176.12
  4. Step 4: Simplify right side
    370.99x = 98,037.27
  5. Step 5: Solve for x
    x = 98,037.27/370.99
  6. Step 6: Final answer
    x = 264.26

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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.