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Finding the Fourth Proportional to 245.61, 368.51 and 180.40

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Solution

The fourth proportional to 245.61, 368.51 and 180.40 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.61 : 368.51 = 180.40 : x
  2. Step 2: Convert to fraction form
    245.61/368.51 = 180.40/x
  3. Step 3: Cross multiply
    245.61x = 368.51 × 180.40
  4. Step 4: Simplify right side
    245.61x = 66,479.20
  5. Step 5: Solve for x
    x = 66,479.20/245.61
  6. Step 6: Final answer
    x = 270.67

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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.