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Finding the Fourth Proportional to 421.81, 581.66 and 362.99

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Solution

The fourth proportional to 421.81, 581.66 and 362.99 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.81 : 581.66 = 362.99 : x
  2. Step 2: Convert to fraction form
    421.81/581.66 = 362.99/x
  3. Step 3: Cross multiply
    421.81x = 581.66 × 362.99
  4. Step 4: Simplify right side
    421.81x = 211,136.76
  5. Step 5: Solve for x
    x = 211,136.76/421.81
  6. Step 6: Final answer
    x = 500.55

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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.