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Finding the Fourth Proportional to 432.18, 596.76 and 285.10

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Solution

The fourth proportional to 432.18, 596.76 and 285.10 is: 393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.18 : 596.76 = 285.10 : x
  2. Step 2: Convert to fraction form
    432.18/596.76 = 285.10/x
  3. Step 3: Cross multiply
    432.18x = 596.76 × 285.10
  4. Step 4: Simplify right side
    432.18x = 170,136.28
  5. Step 5: Solve for x
    x = 170,136.28/432.18
  6. Step 6: Final answer
    x = 393.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.