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Finding the Fourth Proportional to 430.57, 646.09 and 266.27

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Solution

The fourth proportional to 430.57, 646.09 and 266.27 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.57 : 646.09 = 266.27 : x
  2. Step 2: Convert to fraction form
    430.57/646.09 = 266.27/x
  3. Step 3: Cross multiply
    430.57x = 646.09 × 266.27
  4. Step 4: Simplify right side
    430.57x = 172,030.49
  5. Step 5: Solve for x
    x = 172,030.49/430.57
  6. Step 6: Final answer
    x = 399.54

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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.