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Finding the Fourth Proportional to 421.79, 581.60 and 359.53

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Solution

The fourth proportional to 421.79, 581.60 and 359.53 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.79 : 581.60 = 359.53 : x
  2. Step 2: Convert to fraction form
    421.79/581.60 = 359.53/x
  3. Step 3: Cross multiply
    421.79x = 581.60 × 359.53
  4. Step 4: Simplify right side
    421.79x = 209,102.09
  5. Step 5: Solve for x
    x = 209,102.09/421.79
  6. Step 6: Final answer
    x = 495.76

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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.