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Finding the Fourth Proportional to 145.04, 216.36 and 127.76

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Solution

The fourth proportional to 145.04, 216.36 and 127.76 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.04 : 216.36 = 127.76 : x
  2. Step 2: Convert to fraction form
    145.04/216.36 = 127.76/x
  3. Step 3: Cross multiply
    145.04x = 216.36 × 127.76
  4. Step 4: Simplify right side
    145.04x = 27,642.15
  5. Step 5: Solve for x
    x = 27,642.15/145.04
  6. Step 6: Final answer
    x = 190.58

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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.