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Finding the Fourth Proportional to 410.94, 565.65 and 305.91

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Solution

The fourth proportional to 410.94, 565.65 and 305.91 is: 421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 565.65 = 305.91 : x
  2. Step 2: Convert to fraction form
    410.94/565.65 = 305.91/x
  3. Step 3: Cross multiply
    410.94x = 565.65 × 305.91
  4. Step 4: Simplify right side
    410.94x = 173,037.99
  5. Step 5: Solve for x
    x = 173,037.99/410.94
  6. Step 6: Final answer
    x = 421.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.