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Finding the Fourth Proportional to 335.28, 501.80 and 322.50

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Solution

The fourth proportional to 335.28, 501.80 and 322.50 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.28 : 501.80 = 322.50 : x
  2. Step 2: Convert to fraction form
    335.28/501.80 = 322.50/x
  3. Step 3: Cross multiply
    335.28x = 501.80 × 322.50
  4. Step 4: Simplify right side
    335.28x = 161,831.35
  5. Step 5: Solve for x
    x = 161,831.35/335.28
  6. Step 6: Final answer
    x = 482.67

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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.