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Finding the Fourth Proportional to 156.40, 233.53 and 139.08

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Solution

The fourth proportional to 156.40, 233.53 and 139.08 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.40 : 233.53 = 139.08 : x
  2. Step 2: Convert to fraction form
    156.40/233.53 = 139.08/x
  3. Step 3: Cross multiply
    156.40x = 233.53 × 139.08
  4. Step 4: Simplify right side
    156.40x = 32,479.35
  5. Step 5: Solve for x
    x = 32,479.35/156.40
  6. Step 6: Final answer
    x = 207.67

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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.