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Finding the Fourth Proportional to 421.68, 581.68 and 290.46

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Solution

The fourth proportional to 421.68, 581.68 and 290.46 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 581.68 = 290.46 : x
  2. Step 2: Convert to fraction form
    421.68/581.68 = 290.46/x
  3. Step 3: Cross multiply
    421.68x = 581.68 × 290.46
  4. Step 4: Simplify right side
    421.68x = 168,955.68
  5. Step 5: Solve for x
    x = 168,955.68/421.68
  6. Step 6: Final answer
    x = 400.67

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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.