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Finding the Fourth Proportional to 333.55, 497.50 and 310.87

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Solution

The fourth proportional to 333.55, 497.50 and 310.87 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.55 : 497.50 = 310.87 : x
  2. Step 2: Convert to fraction form
    333.55/497.50 = 310.87/x
  3. Step 3: Cross multiply
    333.55x = 497.50 × 310.87
  4. Step 4: Simplify right side
    333.55x = 154,657.83
  5. Step 5: Solve for x
    x = 154,657.83/333.55
  6. Step 6: Final answer
    x = 463.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.