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Finding the Fourth Proportional to 368.30, 507.42 and 256.16

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Solution

The fourth proportional to 368.30, 507.42 and 256.16 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 507.42 = 256.16 : x
  2. Step 2: Convert to fraction form
    368.30/507.42 = 256.16/x
  3. Step 3: Cross multiply
    368.30x = 507.42 × 256.16
  4. Step 4: Simplify right side
    368.30x = 129,980.71
  5. Step 5: Solve for x
    x = 129,980.71/368.30
  6. Step 6: Final answer
    x = 352.92

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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.