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Finding the Fourth Proportional to 534.96, 802.64 and 210.16

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Solution

The fourth proportional to 534.96, 802.64 and 210.16 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 802.64 = 210.16 : x
  2. Step 2: Convert to fraction form
    534.96/802.64 = 210.16/x
  3. Step 3: Cross multiply
    534.96x = 802.64 × 210.16
  4. Step 4: Simplify right side
    534.96x = 168,682.82
  5. Step 5: Solve for x
    x = 168,682.82/534.96
  6. Step 6: Final answer
    x = 315.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.