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Finding the Fourth Proportional to 312.02, 430.59 and 172.16

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Solution

The fourth proportional to 312.02, 430.59 and 172.16 is: 237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 430.59 = 172.16 : x
  2. Step 2: Convert to fraction form
    312.02/430.59 = 172.16/x
  3. Step 3: Cross multiply
    312.02x = 430.59 × 172.16
  4. Step 4: Simplify right side
    312.02x = 74,128.22
  5. Step 5: Solve for x
    x = 74,128.22/312.02
  6. Step 6: Final answer
    x = 237.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.