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Finding the Fourth Proportional to 430.72, 591.50 and 368.55

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Solution

The fourth proportional to 430.72, 591.50 and 368.55 is: 506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 591.50 = 368.55 : x
  2. Step 2: Convert to fraction form
    430.72/591.50 = 368.55/x
  3. Step 3: Cross multiply
    430.72x = 591.50 × 368.55
  4. Step 4: Simplify right side
    430.72x = 217,998.25
  5. Step 5: Solve for x
    x = 217,998.25/430.72
  6. Step 6: Final answer
    x = 506.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.