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Finding the Fourth Proportional to 157.77, 216.59 and 152.30

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Solution

The fourth proportional to 157.77, 216.59 and 152.30 is: 209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 216.59 = 152.30 : x
  2. Step 2: Convert to fraction form
    157.77/216.59 = 152.30/x
  3. Step 3: Cross multiply
    157.77x = 216.59 × 152.30
  4. Step 4: Simplify right side
    157.77x = 32,986.44
  5. Step 5: Solve for x
    x = 32,986.44/157.77
  6. Step 6: Final answer
    x = 209.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.