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Finding the Fourth Proportional to 158.04, 235.36 and 152.64

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Solution

The fourth proportional to 158.04, 235.36 and 152.64 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 235.36 = 152.64 : x
  2. Step 2: Convert to fraction form
    158.04/235.36 = 152.64/x
  3. Step 3: Cross multiply
    158.04x = 235.36 × 152.64
  4. Step 4: Simplify right side
    158.04x = 35,925.35
  5. Step 5: Solve for x
    x = 35,925.35/158.04
  6. Step 6: Final answer
    x = 227.32

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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.